Answers
The circle is partitioned into 9 parts and arc GH is only one of the parts, therefore, the length of arc GH is a ninth of the circumference of the circle which has the radius as a factor.
The ratio of the measure of arc length GH to the radius, r, where r = n is [tex]\frac{2\cdot \pi}{9}[/tex]What is the circumference of a circle?The circumference of a circle is the perimeter of the circle which is equal to the product of twice the radius and π.
The circumference of the circle is C = 2·π·r
The circle is divided into 9 parts
The arc GH is the arc to one part of the circle
The length of the arc GH = 2·π·r/9
The ratio of the arc GH to the radius, r = n is therefore;
When r = n,
Measure of arc length [tex]\widehat{GH}[/tex] = 2·π·n/9
Ratio of [tex]\widehat{GH}[/tex] to r = n is obtained using the formula;
[tex]Ratio = \dfrac{Measure \ of \ arc\ length \ GH }{n}[/tex]
[tex]\dfrac{\dfrac{2\cdot \pi\cdot n}{9} }{n} = \dfrac{2\cdot \pi }{9}[/tex]
The ratio of the measure of arclength GH to the radius (r = n) is [tex]\dfrac{2\cdot \pi }{9}[/tex]Learn more about the measure of an arc of a circle in geometry here:
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Related Questions
Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
Answers
Proved that a quadrilateral is a square then the quadrilateral is also a rectangle.
What is quadrilaterals?A quadrilateral is a closed shape created by uniting four points, any three of which cannot be collinear. Four sides, four angles, and four vertices make up a quadrilateral.
Quadrilaterals have a few characteristics as follows:
Each side of figure has four sides.
Each of them has four vertices.
The Two diagonals are present.
The sum of all interior angles is 360 degrees.
Given to prove if a quadrilateral is a square, then the quadrilateral is a rectangle.
The Square has four equal sides, and all four angles.
Rectangle has equal opposite sides, and all four angles are the right angle.
Thus, the two sides of the square can be increased to form a rectangle.
Hence, We have Proved that if a quadrilateral is a square then the quadrilateral is also a rectangle.
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Are the two functions apart of the same family of functions why or why not
y= -80(x-1)^{2} + 80
y=-0.49(x-12)^2 +70
Answers
The two functions are a part of the same family of functions
How to determine the true statements about the functions?From the question, we have the following parameters that can be used in our computation:
Equations
y= -80(x-1)^{2} + 80
y=-0.49(x-12)^2 +70
These equations can be re-expressed properly as follows
So, we have the following representation
y= -80(x-1)² + 80
y=-0.49(x-12)² +70
From the above representations, we can see that the degrees of both equations are 2
This means that the equations are quadratic equations
This is so because a quadratic equation is represented as y= a(x - h)² + k
Hence, the two functions are a part of the family of quadratic equation functions
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The law of large numbers states that as the number of observations drawn at random from a population with finite mean μ increases, the mean of the observed values.
Answers
The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.
Define the term population mean?The average calculated from the group members, distribution, or population is known as the population mean.
It is calculated by dividing the sum of all different variables through the total population of variables. The population mean is shown here as. The population's observations are added together to form X. There are 2 distinct averages in statistics: Only a few observations—selected from the population data—are taken into account for calculating the sample mean. On the other hand, the population mean computes the average value by taking into account all of the population's observations.Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.
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Question 1(Multiple Choice Worth 5 points)
(Constant of Proportionality LC)
The equation c= 8m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop.
Determine the constant of proportionality.
A| 8
B| 1
C| 118
D| 16
Answers
The constant of proportionality in the equation c = 8m will be; 8.
What is a variation?A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.
We have been given C = 8m is an equation and the relationship between c and m is direct.
This means that dividing both sides of the equation by m, we have;
C/m = 8m/m
c/m = 8
Therefore, the constant of proportionality is 8
It is found that the constant of proportionality for which c = 8m will be 8.
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A farmer produces 1000kg of rice. This year the production of rice decreased by 30%. How much rice is produced this year?
Will be selected brainliest!
Answers
The farmer will produce 700kg of rice this year, which is 30%(percentage) less
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
A farmer produces 1000kg of rice.
This year the production of rice decreased by 30%
30% of 1000 will be 1000*30/100 = 300
So total production this year will be 1000-300 = 700KG
Hence, the farmer will produce 700kg of rice this year.
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in a random survey of students concerning student activities, 34 engineering majors, 24 business majors, 22 science majors, and 16 liberal arts majors were selected. (enter your probabilities as fractions.)
Answers
The probabilities of random survey of students are
The probability of engineering majors = 17/48 The probability of business majors = 1/4 The probability of science majors = 11/48 The probability of liberal arts majors = 1/6Total number of engineering majors = 34
Total number of business majors = 24
Total number of science majors = 22
Total number of liberal arts majors = 16
Total number of students = 34 + 24 + 22 + 16
= 96 students
The probability = Number of favorable outcomes / Total number of outcomes
The probability of engineering majors = 34 / 96
= 17/48
The probability of business majors = 24 / 96
= 1/4
The probability of science majors = 22/96
= 11/48
The probability of liberal arts majors = 16/96
= 1/6
Hence, the probabilities are
The probability of engineering majors = 17/48 The probability of business majors = 1/4 The probability of science majors = 11/48 The probability of liberal arts majors = 1/6Learn more about probability here
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Solve for X, please make your answer a whole number, meaning no fractions, no decimals.
3(-6x) + 5 = 32
Answers
Answer:
x= -1.5
Rounded: x= -2
Step-by-step explanation:
3(-6x)+5=32
-18x+5=32
-5. -5
-18x=27
/-18. /-18
x=-1.5
And I guess I round to a whole number
x=-2
Hopes this helps please mark brainliest
3(-6x) + 5 = 32
multiply out left side:
-18x + 5 = 32
subtract 5 from both sides:
-18x = 27
divide both sides by-18:
x = -3/2
or
x = -1.5
Please help, pic provided. miguel has started running. he runs 1 mile the first week. his goal is to run 2 miles farther than his distance for the previous week. what equation represents this scenario? is it the answer i chose?
Answers
The equation which represents this scenario would be y = 2x + 1.
What is a linear function?
The term linear function in mathematics refers to two distinct but related concepts: A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
Miguel runs 1 mile in the first week and in the second week he runs 2 runs farther than his distance for the previous week,
Let the distance covered in the previous week be 'x' distance then his goal can be represented as '2x'.
Then the given scenario can be represented by
y = 2x + 1.
Hence, the equation which represents this scenario would be y = 2x + 1.
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Work out the value of x.
Answers
x=16
Explanation:
A five-sided shape (pentagon) has a sum of 540°.
So
Add all values in the image to get 33x+12
Set it equal to 540 and solve
33x+12=540
33x=528
x=16
no matter what the shape of the parent population is, as long as our sample size is 10 or greater, we can conclude that the sampling distribution of the sample mean is approximately normally distributed. group of answer choices true false
Answers
No matter what the shape of the parent population is, as long as our sample size is 10 or greater, we can conclude that the sampling distribution of the sample mean is approximately normally distributed. This statement is False.
We know that,
the Central limit theorem says that no matter what the distribution of the population is, as long as the sample is "large", meaning of size 30 or more, the sample mean is approximately normally distributed. If the population is normal to begin with then the sample mean also has a normal distribution, regardless of the sample size.
So therefore we need sample size greater than 30 and we have given 10 or greater.
Hence the given statement is false.
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How do you know if the numbers are closed under addition?.
Answers
By applying the operation of addition we observed that the sum of two number are belong to the given set
take any two numbers suppose a and b
and applying the operation addition
Irrational numbers are not closed under addition.
The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.
This can be understood with the help of an example:
let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.
Hence, irrational numbers are not closed under addition.
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What is SAS congruence rule?.
Answers
According to the SAS congruence rule, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Congruent triangles have the same size and shape. This implies that the corresponding sides and angles are also equal.
The Side-Angle-Side (SAS) rule is used to determine whether a given set of triangles is congruent.
According to the SAS rule, triangles are congruent if two sides and the included angle of one are equal to two sides and the included angle of another.
As shown in Figure
If AC = PQ, BC = PR, and angle C = angle P, then triangle ABC is congruent to triangle QRP according to the SAS rule.
Thus, the SAS rule can be used to determine whether or not two triangles are congruent.
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What's the quotient of this expression?
Answers
Answer:
Step-by-step explanation:
In the pic below:-
The quotient is (x + y) (3x -y) for the expression[tex]\frac{3x^3-7x^2y-7xy^2+3y^3}{x-3y}[/tex] .
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is
[tex]\frac{3x^3-7x^2y-7xy^2+3y^3}{x-3y}[/tex]
The factor of equation 3x³-7x2y-7xy²+3y³ are,
(x + y) (3x - y) (x - 3y)
The given expression can be written as,
[tex]\frac{(x + y) (3x - y) (x -3y)}{x-3y}[/tex]
=(x + y) (3x -y)
The required quotient for the given expression [tex]\frac{3x^3-7x^2y-7xy^2+3y^3}{x-3y}[/tex] is (x + y) (3x -y).
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Write down the roots of x(squared)-4x-5=0
Answers
please answer asap (50 points)
only write down what I gotta put in the box and explanation
psa please complete the rest on my profile (only a few others )
Answers
Answer:
b=21
Step-by-step explanation:
-3=3(-8)+b
-3=-24+b
+24 +24
21=b
Hopes this helps
Given the function g(x)=-x^2+2x+8g(x)=−x
2
+2x+8, determine the average rate of change of the function over the interval -3\le x \le 3−3≤x≤3.
Answers
The average rate of change of g(x) over the interval [-3, 3] is 2.
How to determine the rate of change?For a function f(x), we define the rate of change over an interval (a, b) as:
(f(b) - f(a))/(b - a)
Here we have the interval [-3, 3] and the function:
g(x) = x^2 + 2x + 8
Then the average rate of change over that interval will be:
[ g(3) - g(-3)]/(3 - (-3))
The values in the denominator are:
g(3) = 3^2 + 2*3 + 8 = 9 + 6 + 8 =23
g(-3) = (-3)^2 + 2*-3 + 8 = 9 - 6 + 8 = 11
Replacing that we get:
[23 - 11]/(3 + 3) = 12/6 = 2
The average rate of change over that interval is 2.
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In ANOVA analysis, when the null hypothesis is rejected, we can test for differences between treatment means by?A. constructing confidence intervals.B. adding another treatment.C. doing an additional ANOVAD. doing a t-test
Answers
When the null hypothesis is rejected in ANOVA analysis, we can test for differences between treatment means by doing a t-test.
What is meant by ANOVA method?It is statistically possible to compare the means of two or more groups of data using the ANOVA approach. It includes comparing the null hypothesis, which states that the means of the groups are equal, to the alternative hypothesis, which states that at least one of the means is different. If the null hypothesis is disproved, it signifies that the group means deviate significantly from one another.To test for these differences, we may use a t-test, which is a statistical test used to evaluate if the means of two groups are significantly different from one another. With the use of a t-test, we may assess if there are any statistically variations in terms of the 2 groups.
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Erin is 3 years younger than twice Alex's age. Their ages
combined are 33
years. Write an equation to solve.
Answers
Answer:
X = 15 = Erin's age
Y = 18 = Alex's age
Step-by-step explanation:
X = Erin's age
Y = Alex's age
33 (combined ages) - 3 (how many years Erin is younger than Alex) = 30
30 ÷ 2 = 15
15 + 0 = 15 (Erin's age)
15 + 3 = (Alex's age)
X = 15 = Erin's age
Y = 18 = Alex's age
help me pleaseeeeee pleaseeeeeeee(ᗒᗩᗕ)
find the slope of line given the ff. points.
1. (0.-1) and (2,3)
3.(6,-10) and (2,6)
3,(3,2) and (3,5)
4.(2,3) and(5,3)
Answers
Answer:
[tex]\textsf{1.} \quad 2[/tex]
[tex]\textsf{2.} \quad -4[/tex]
[tex]\textsf{3.\quad und\:\!efined}[/tex]
[tex]\textsf{4.} \quad 0\;\;\textsf{(zero)}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]
Question 1Given points:
(x₁, y₁) = (0, -1)(x₂, y₂) = (2, 3)Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{3-(-1)}{2-0}=\dfrac{4}{2}=2[/tex]
Question 2Given points:
(x₁, y₁) = (6, -10)(x₂, y₂) = (2, 6)Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{6-(-10)}{2-6}=\dfrac{16}{-4}=-4[/tex]
Question 3Given points:
(x₁, y₁) = (3 ,2)(x₂, y₂) = (3, 5)Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{5-2}{3-3}=\dfrac{3}{0}=\textsf{und\:\!efined}[/tex]
Question 4Given points:
(x₁, y₁) = (2, 3)(x₂, y₂) = (5, 3)Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{3-3}{5-2}=\dfrac{0}{3}=0[/tex]
What is a counterexample for the conjecture? if the perimeter of a rectangle is 40 units, the area must be at least 1 square unit.
Answers
The explanation about counterexample for the conjecture is describe below.
What is counterexample?The term counterexample alludes to an occasion or model that offers the expression bogus. This is utilized in rationale to check in the event that an assertion is valid or not. Counter model will quite often counter the explanation being talked about with admirable sentiments.
According to question:The inquiry needs to show the relationship that might exist among perimeter and area of a rectangle.
The counterexample gave the aspects that gave the border which is 40 however neglected to give area of 1 square unit
Thus, A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.
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Because it only considers the worst possible outcomes, the ________________ decision criterion
has the least downside risk.
A. Laplace
B. maximin
C. minimax regret
D. maximax
Answers
Because it only considers the worst possible outcomes, the maximin decision criterion has the least downside risk.
Wald's maximin model is a non-probabilistic decision-making model in game theory and decision theory.
It says that while choosing a course of action, the decision-maker should choose the one whose greatest (highest) loss is better than the least (minimum) loss of all other options that are feasible under the current conditions. The approach that maximizes one's own lowest payout is referred to as "maximin" in non-zero-sum games.
When given a choice between numerous options, the maximin approach instructs managers to consider each option's worst-case outcome. This presupposes that each choice has a number of possible outcomes.
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The death rate per 100,000 for lung cancer is 7 among nonsmokers and 71 among smokers. The death rate per 100,000 for coronary thrombosis is 422 among nonsmokers and 599 among smokers. The prevalence of smoking in the population is 55%. Among smokers, the etiologic fraction of disease due to smoking is:
Answers
Among smokers, the etiologic fraction of disease due to smoking is: a score of 0.83 for lung cancer and 0.18 for coronary thrombosis.
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
The death rate per 100,000 for lung cancer is 7 among nonsmokers and 71 among smokers.
The death rate per 100,000 for coronary thrombosis is 422 among nonsmokers and 599 among smokers.
Lung cancer's relative risk (RR) is equal to 71/7 = 10.1
Lung cancer population etiological factor (PEF) =
0.55(10.1 -1) /0'.55 (10,1 -1)+1
= 0.83
Coronary thrombosis' relative risk (RR) is 599/422, or 1.42.
The population etiological factor (PEF) for coronary thrombosis
= 0.55 (1.42-1)/0'.55. (1.42 -1)+1
= 0.18
Hence, Among smokers with a score of 0.83 for lung cancer and 0.18 for coronary thrombosis.
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suppose the probability of an event is 21 47 . what are the odds for the event happening? to what are the odds against the event happening? to
Answers
The odd for the event happening is 0,45%.The probability of event happening is quite posssible but it has less probability the event is not on the odds than the event is not happening.
How to count odds on the event's probability?Probability of event happening always count as two probability where it is 0 and 1 ,or the event is happening and not. To count odds for the event happening you can use this formula: odds = event happening : total probability/experiment x 100%. As per given the odds is 47 and total experiment is 47, the calculation will be:
odds = [tex]\frac{21}{47}[/tex] x 100% = 0.44680851063%
odds = 0,45%
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In Problems 17 through 25, the eigenvalues of the coefficient matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. 17.
Answers
The general solution is then x1 = c1*(1/sqrt(5))e^(+sqrt(5)t) + c2*(-1/sqrt(5))e^(-sqrt(5)t) using the eigen value method.
What are coefficient matrices?The coefficients of a set of linear equations are represented by coefficient matrices. These matrices are frequently used to streamline the process of calculating equations by arranging the coefficients in a standardized manner. The coefficient matrix is frequently designated as A, with the dimensions matching to the number of equations and variables in the system. A system of three equations with three variables, for inspection , would have a 3x3 coefficient matrix. The elements in the matrix reflect the coefficients of each variable in each equation and may be used to solve the problem using various approaches such as Gaussian elimination or matrix inversion.
How to solve?
x1' = -3x1 + 2x2
x2' = -3x1 - 2x2
The characteristic equation is (-3-λ)(-3+λ)+4=0, which simplifies to λ^2-9+4=0, or λ^2-5=0. This has solutions λ = +-sqrt(5).
For λ = +sqrt(5), the system becomes:
x1' = -3x1 + 2x2
x2' = -3x1 + 2sqrt(5)x2
x2 = -(3/2)x1 + (1/sqrt(5))x2
eigenvector x2 = (1/sqrt(5))x1.
For λ = -sqrt(5), the system becomes:
x1' = -3x1 + 2x2
x2' = -3x1 - 2sqrt(5)x2
x2 = -(3/2)x1 - (1/sqrt(5))x2
Dividing both sides by (1+3/2sqrt(5)), we get the eigenvector x2 = (-1/sqrt(5))x1.
The general solution is then x1 = c1*(1/sqrt(5))e^(+sqrt(5)t) + c2*(-1/sqrt(5))e^(-sqrt(5)t).
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You are going to buy a car for AED 137,825. You have aved up a 10% depoit and can pay the ret in 8 monthly depoit. How much i each payment?
Answers
The monthly payment needs to pay is 15,505.3.
What is the percent deposit?
Deposit Percentage refers to the percentage of total Deposit Exposures represented by any Deposit Lender's Deposit Exposure.
We have,
Car price to pay 137,825,
saved up a 10%
The rest can pay in 8 monthly deposits.
So, firstly we divide the total price amount by 10 to get the deposit amount,
137,825 /10 = 13,782.5
then minus this amount from the total amount,
137,825 - 13,782.5 = 1,24,042.5
again divide this amount by 8 to get monthly deposit,
monthly each payment = 1,24,042.5/8
= 15,505.3
Hence, the monthly payment needs to pay is 15,505.3.
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
48, 49, 50, 51, ...
Answers
The expression for the sequence 48, 49, 50, 51, is aₙ = n + 47
How to find the expression of a sequence?The sequence is an arithmetic progression. Therefore, the expression of the sequence can be ascertain with the arithmetic formula as follows:
aₙ = a + (n - 1)d
where
a = first termn = number of termsd = common differenceTherefore,
a = 48
d = 49 - 48 = 1
Hence,
aₙ = 48 + (n - 1)1
aₙ = 48 + n - 1
aₙ = 48 - 1 + n
aₙ = n + 47
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What is the moment of inertia of a cube with mass m=0. 500kg and side lengths s=0. 030m about an axis which is both normal (perpendicular) to and through the center of a face of the cube? watch your units.
Answers
The moment of inertia of a cube with mass m = 0.500kg and side lengths s = 0. 030m about an axis which is both normal (perpendicular) to and through the center of a face of the cube is I = 2.205x10^-4 kg/m^2.
Here Given mass m = 0.5 kg
And side length = 0.03 m
Moment of inertia I = mass x radius of rotation squared
I = mr^2
In this case, the radius of rotation is about an axis which is both normal (perpendicular) to and through the center of a face of the cube.
Calculating from the dimensions of the the box, the radius of rotation r = 0.021 m
Therefore, I = 0.5 x 0.021^2 = 2.205x10^-4 kg/m^2
Hence the answer is the moment of inertia of a cube with mass m = 0.500kg and side lengths s = 0. 030m about an axis which is both normal (perpendicular) to and through the center of a face of the cube is I = 2.205x10^-4 kg/m^2.
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a sample of size 16 is randomly selected from a population of size 90. determine the standard error of the mean if the population standard deviation equals 20.
Answers
As per the given standard deviation, the standard error is 5
Standard deviation:
Basically, standard deviation means the root-mean square deviation as it is the square root of means of the squared deviations from the arithmetic mean.
Given,
A sample of size 16 is randomly selected from a population of size 90.
Here we need to determine the standard error of the mean if the population standard deviation equals 20.
As per the given question, we know that,
Number of population is 16
And the standard deviation = 20
So, the standard error is calculated as,
=> Error = 20/√16
=> error = 20/4
=> error = 5
Therefore, the standard error is 5.
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10. VABCD is a pyramid with a rectangular base of sides 15 cm by 9 cm. Given that the slant height VQ of the pyramid is 16 cm, find its (i) height, (ii) volume,
Answers
The Height and volume of the pyramid is ,
i) Height = 15.35cm
ii) Volume= 690.75 [tex]cm^3[/tex].
What is pyramid ?
A three-dimensional shape is a pyramid. Flat triangular sides that are joined at a common point known as the apex define the polygonal base of a pyramid. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.
Here slant height l = 16cm and sides of the rectangular base is ,
length l = 15cm and width w = 9 cm.
Side length = 9/2 = 4.5cm
Using Pythagorean theorem ,
=> Height h = [tex]\sqrt{16^2-4.5^2}[/tex]
=> height h = 15.35 cm
Now volume of pyramid is ,
=> V = 1/3 * Base area * height cubic unit
=> V = 1/3 *15*9*15.35
=> V = 690.75 [tex]cm^3[/tex]
Hence the Height and volume of the pyramid is ,
i) Height = 15.35cm
ii) Volume= 690.75 [tex]cm^3[/tex].
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How do you determine if a function is linear or quadratic?.
Answers
We can determine if a function is linear or quadratic by, if the function is exponential if the variable is in the exponent. It is a quadratic equation if the variable is not in the exponent. The function is a linear function if it lacks an exponent.
Define function.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given,
We can determine if a function is linear or quadratic by,
For data presented as ordered pairs, you can calculate the model's degree by identifying differences between dependent values. The model will be linear if the initial difference has the same value. The model will be quadratic if the second difference has the same value as the first.
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